7408695840 has 768 divisors, whose sum is σ = 30888345600. Its totient is φ = 1449197568.

The previous prime is 7408695839. The next prime is 7408695841. The reversal of 7408695840 is 485968047.

It is an interprime number because it is at equal distance from previous prime (7408695839) and next prime (7408695841).

It is not an unprimeable number, because it can be changed into a prime (7408695841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65563624 + ... + 65563736.

It is an arithmetic number, because the mean of its divisors is an integer number (40219200).

Almost surely, 2^7408695840 is an apocalyptic number.

7408695840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7408695840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15444172800).

7408695840 is an abundant number, since it is smaller than the sum of its proper divisors (23479649760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7408695840 is a wasteful number, since it uses less digits than its factorization.

7408695840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 7408695840 is about 86073.7813738888. The cubic root of 7408695840 is about 1949.4581742489.

The spelling of 7408695840 in words is "seven billion, four hundred eight million, six hundred ninety-five thousand, eight hundred forty".